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viva [34]
3 years ago
13

A gumball machine has various colors of gumballs. There is a 10% chance that the next

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

It is red

Step-by-step explanation:

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A baker made 9 cakes. He cut each cake into 6 slices. How many slices of cake did the baker end up with?
Gnoma [55]

Answer:

54 slices

Step-by-step explanation:

You just multiply 9 by 6

8 0
3 years ago
The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a
OlgaM077 [116]

Answer:

About 152 pieces of candy

Step-by-step explanation:

Set up equal proportions to solve for the $5.99 bag.

We know that 24 pieces = .99, so

\frac{25 pieces}{.99 dollars} = \frac{x pieces}{5.99 dollars}

Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.

Cross-multiply.

25(5.99) = .99x

Simplify.

149.75 = .99x

Divide both sides by .99.

x = 151.26 = about 151 pieces of candy

7 0
2 years ago
Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran the race in 55.7 seconds, what was the record.
dybincka [34]

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57 seconds

8 0
2 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
2 years ago
4x^5 in verbal algebraic expression
disa [49]

Answer:

The product of 4 times the quantity x to the fifth power

6 0
3 years ago
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